5462567040 has 384 divisors, whose sum is σ = 20919237120. Its totient is φ = 1207664640.

The previous prime is 5462567027. The next prime is 5462567069. The reversal of 5462567040 is 407652645.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5462567040.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2915544 + ... + 2917416.

It is an arithmetic number, because the mean of its divisors is an integer number (54477180).

Almost surely, 2^5462567040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5462567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10459618560).

5462567040 is an abundant number, since it is smaller than the sum of its proper divisors (15456670080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5462567040 is a wasteful number, since it uses less digits than its factorization.

5462567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 5462567040 is about 73909.1810264462. The cubic root of 5462567040 is about 1761.1604605745.

The spelling of 5462567040 in words is "five billion, four hundred sixty-two million, five hundred sixty-seven thousand, forty".